{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:D5PU3SINJTLVQ5OGQSJOYDBQPY","short_pith_number":"pith:D5PU3SIN","canonical_record":{"source":{"id":"0807.1238","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-07-08T13:31:54Z","cross_cats_sorted":[],"title_canon_sha256":"8184017ac8d365f6c9d2ac29187930d33e0b829faaf610e21f67b7833276551b","abstract_canon_sha256":"a15a83d05c3fbc54bd5d7e6280aae43d2c2a9c35d64eaca21fa07e49bf15edc5"},"schema_version":"1.0"},"canonical_sha256":"1f5f4dc90d4cd75875c68492ec0c307e3112353ec9c64ae0ef3c0916f60af5a1","source":{"kind":"arxiv","id":"0807.1238","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.1238","created_at":"2026-07-04T15:30:21Z"},{"alias_kind":"arxiv_version","alias_value":"0807.1238v1","created_at":"2026-07-04T15:30:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.1238","created_at":"2026-07-04T15:30:21Z"},{"alias_kind":"pith_short_12","alias_value":"D5PU3SINJTLV","created_at":"2026-07-04T15:30:21Z"},{"alias_kind":"pith_short_16","alias_value":"D5PU3SINJTLVQ5OG","created_at":"2026-07-04T15:30:21Z"},{"alias_kind":"pith_short_8","alias_value":"D5PU3SIN","created_at":"2026-07-04T15:30:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:D5PU3SINJTLVQ5OGQSJOYDBQPY","target":"record","payload":{"canonical_record":{"source":{"id":"0807.1238","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-07-08T13:31:54Z","cross_cats_sorted":[],"title_canon_sha256":"8184017ac8d365f6c9d2ac29187930d33e0b829faaf610e21f67b7833276551b","abstract_canon_sha256":"a15a83d05c3fbc54bd5d7e6280aae43d2c2a9c35d64eaca21fa07e49bf15edc5"},"schema_version":"1.0"},"canonical_sha256":"1f5f4dc90d4cd75875c68492ec0c307e3112353ec9c64ae0ef3c0916f60af5a1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:30:21.732003Z","signature_b64":"pOoxzJxIevtvwMAhh89a9PPCV09aBB1LOJ+5/wml9iyIJJd9jhnjvI4Zk0+CikTNnVC3ktzAM9NBMUOUbBq9Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1f5f4dc90d4cd75875c68492ec0c307e3112353ec9c64ae0ef3c0916f60af5a1","last_reissued_at":"2026-07-04T15:30:21.731596Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:30:21.731596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0807.1238","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:30:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+zhZhUBrduamCoZxmvchMADOs/GKzhbTACj589jtxIaib8P9/bR6PhenjzFQKbzwKpwT3Dbx3p3qGU/wVBU+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T11:28:25.775647Z"},"content_sha256":"37a4c9667fec7ad1fbbee923dc1ea9d71befd322610ad6c06cbb2133a25e8b71","schema_version":"1.0","event_id":"sha256:37a4c9667fec7ad1fbbee923dc1ea9d71befd322610ad6c06cbb2133a25e8b71"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:D5PU3SINJTLVQ5OGQSJOYDBQPY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards the NNLO evolution of polarised parton distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Amsterdam), A. Vogt (Liverpool Univ), J.A.M. Vermaseren (NIKHEF, M. Rogal (DESY, S. Moch, Zeuthen)","submitted_at":"2008-07-08T13:31:54Z","abstract_excerpt":"We report on the first calculation of the structure function g_1 in polarised deep-inelastic scattering to the third order in massless perturbative QCD. The calculation follows the dispersive approach already used for the corresponding unpolarised cases of F_2,L, but additionally involves higher tensor integrals and the Dirac matrix gamma_5 in D unequal 4 dimensions. Our results confirm all known two-loop expressions including the coefficient functions of Zijlstra and van Neerven not independently verified before. At three loops we extract the helicity-difference next-to-next-to-leading order "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.1238","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0807.1238/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:30:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JXWYwRTN9thAvrvdo8E//XRaK/pWfVRDgGZ6NkKNQgkb3VAw68tqrJRx6NfNVffzDVsGjhBXCbZlbGEzetgbCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T11:28:25.776280Z"},"content_sha256":"5a8dbbb70c1e8735f63b64bf13bb109771f36027b26eed3abdbc5476c96bd62f","schema_version":"1.0","event_id":"sha256:5a8dbbb70c1e8735f63b64bf13bb109771f36027b26eed3abdbc5476c96bd62f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D5PU3SINJTLVQ5OGQSJOYDBQPY/bundle.json","state_url":"https://pith.science/pith/D5PU3SINJTLVQ5OGQSJOYDBQPY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D5PU3SINJTLVQ5OGQSJOYDBQPY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-15T11:28:25Z","links":{"resolver":"https://pith.science/pith/D5PU3SINJTLVQ5OGQSJOYDBQPY","bundle":"https://pith.science/pith/D5PU3SINJTLVQ5OGQSJOYDBQPY/bundle.json","state":"https://pith.science/pith/D5PU3SINJTLVQ5OGQSJOYDBQPY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D5PU3SINJTLVQ5OGQSJOYDBQPY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:D5PU3SINJTLVQ5OGQSJOYDBQPY","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a15a83d05c3fbc54bd5d7e6280aae43d2c2a9c35d64eaca21fa07e49bf15edc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-07-08T13:31:54Z","title_canon_sha256":"8184017ac8d365f6c9d2ac29187930d33e0b829faaf610e21f67b7833276551b"},"schema_version":"1.0","source":{"id":"0807.1238","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.1238","created_at":"2026-07-04T15:30:21Z"},{"alias_kind":"arxiv_version","alias_value":"0807.1238v1","created_at":"2026-07-04T15:30:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.1238","created_at":"2026-07-04T15:30:21Z"},{"alias_kind":"pith_short_12","alias_value":"D5PU3SINJTLV","created_at":"2026-07-04T15:30:21Z"},{"alias_kind":"pith_short_16","alias_value":"D5PU3SINJTLVQ5OG","created_at":"2026-07-04T15:30:21Z"},{"alias_kind":"pith_short_8","alias_value":"D5PU3SIN","created_at":"2026-07-04T15:30:21Z"}],"graph_snapshots":[{"event_id":"sha256:5a8dbbb70c1e8735f63b64bf13bb109771f36027b26eed3abdbc5476c96bd62f","target":"graph","created_at":"2026-07-04T15:30:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0807.1238/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We report on the first calculation of the structure function g_1 in polarised deep-inelastic scattering to the third order in massless perturbative QCD. The calculation follows the dispersive approach already used for the corresponding unpolarised cases of F_2,L, but additionally involves higher tensor integrals and the Dirac matrix gamma_5 in D unequal 4 dimensions. Our results confirm all known two-loop expressions including the coefficient functions of Zijlstra and van Neerven not independently verified before. At three loops we extract the helicity-difference next-to-next-to-leading order ","authors_text":"Amsterdam), A. Vogt (Liverpool Univ), J.A.M. Vermaseren (NIKHEF, M. Rogal (DESY, S. Moch, Zeuthen)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-07-08T13:31:54Z","title":"Towards the NNLO evolution of polarised parton distributions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.1238","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:37a4c9667fec7ad1fbbee923dc1ea9d71befd322610ad6c06cbb2133a25e8b71","target":"record","created_at":"2026-07-04T15:30:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a15a83d05c3fbc54bd5d7e6280aae43d2c2a9c35d64eaca21fa07e49bf15edc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-07-08T13:31:54Z","title_canon_sha256":"8184017ac8d365f6c9d2ac29187930d33e0b829faaf610e21f67b7833276551b"},"schema_version":"1.0","source":{"id":"0807.1238","kind":"arxiv","version":1}},"canonical_sha256":"1f5f4dc90d4cd75875c68492ec0c307e3112353ec9c64ae0ef3c0916f60af5a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f5f4dc90d4cd75875c68492ec0c307e3112353ec9c64ae0ef3c0916f60af5a1","first_computed_at":"2026-07-04T15:30:21.731596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:30:21.731596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pOoxzJxIevtvwMAhh89a9PPCV09aBB1LOJ+5/wml9iyIJJd9jhnjvI4Zk0+CikTNnVC3ktzAM9NBMUOUbBq9Bw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:30:21.732003Z","signed_message":"canonical_sha256_bytes"},"source_id":"0807.1238","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37a4c9667fec7ad1fbbee923dc1ea9d71befd322610ad6c06cbb2133a25e8b71","sha256:5a8dbbb70c1e8735f63b64bf13bb109771f36027b26eed3abdbc5476c96bd62f"],"state_sha256":"4916cd37b1319efe651ec2df881d886330405aac6843d408eb0cba5905dcb15f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AhF/YPjw9M3uYw9IXC9wQKNvC8kEkxaz3xIi5+az+sw60tTwQGpZwfdhn8MuLVMbRs6s6KEQqSqhZD3M02bWAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T11:28:25.780752Z","bundle_sha256":"4710a7b8bc299f3786812cef64f1c6f5f95c671e79c9f80e933115fbd4cae4ab"}}